b Which measures should we use when the distribution of the data is skewed?
C
c What does it mean if most of the data are on the left side of $150?
A
aHistogram:
B
b The distribution is skewed right, so the median and the five-number summary best represent the data.
C
c Most people were charged a fee for their withdrawals.
Practice makes perfect
Consider the given table.
a
ATM Withdrawals (Dollars)
120
100
70
60
40
80
150
80
50
120
60
175
30
50
50
60
200
30
100
150
110
70
40
100
The given table represents the last 24 ATM withdrawals at a bank. We are asked to display the data in a histogram by using seven intervals, beginning with 26-50. To do so, we first need to make a frequency table.
ATM Withdrawals (Dollars)
Frequency
26-50
7
51-75
5
76-100
5
101-125
3
126-150
2
151-175
1
176-200
1
We can now display the data in a histogram. To do so, let's set the horizontal axis to be the Amount of Money and the vertical axis to be the Frequency. Finally, we will draw bars to represent the frequency of each interval. Let's do it!
c Given that the bank charges a fee for any ATM withdrawal less than $150, we are asked to interpret the data. From the histogram, we can see that most of the data values are on the left side of the graph, which represent withdrawals of less than $150. Therefore, most people were charged a fee for their withdrawals.
